Consider the following gas phase reaction being carried out in a closed vessel at 25°C . 2A(g) 4B(g) + C(g) time (min) total pressure of the system (mm Hg) 30 300 600 The pressure of C(g) at 30 minutes time interval would be _______ mm Hg. (nearest integer)

Step-by-step solution

For the given gas phase reaction: 2A(g) 4B(g) + C(g) Let the initial pressure of A(g) be P₀ . At t = 0 : P_A = P₀ , P_B = 0 , P_C = 0 At t = t : P_A = P₀ - 2p , P_B = 4p , P_C = p Total pressure at time t , P_t = P₀ - 2p + 4p + p = P₀ + 3p At t = , the reaction is complete, so P_A = 0 2p = P₀ p = P₀ 2 Total pressure at t = , P_ = 4 ( P₀ 2 ) + P₀ 2 = 5P₀ 2 Given P_ = 600 mm Hg: 5P₀ 2 = 600 P₀ = 240 mm Hg At t = 30 min, P_t = 300 mm Hg: P₀ + 3p = 300 240 + 3p = 300 3p = 60 p = 20 mm Hg The pressure of C(g) at 30 minu